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Finding the Fourth Proportional to 168.04, 253.20 and 138.27

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Solution

The fourth proportional to 168.04, 253.20 and 138.27 is: 208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.04 : 253.20 = 138.27 : x
  2. Step 2: Convert to fraction form
    168.04/253.20 = 138.27/x
  3. Step 3: Cross multiply
    168.04x = 253.20 × 138.27
  4. Step 4: Simplify right side
    168.04x = 35,011.43
  5. Step 5: Solve for x
    x = 35,011.43/168.04
  6. Step 6: Final answer
    x = 208.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.